Professor Angela Mihai
Professor of Applied Mathematics, Director of Research
 Abacws, Room 5.14, Senghennydd Road, Cathays, Cardiff, CF24 4AG
Overview
I am a mathematician with a general interest in applied and computational mathematics at the interface with engineering and natural sciences.
Publication
2023
 Mihai, L. A. 2023. A theoretical liquid crystal elastomer model that mimics the elasticity of cat skin. Mechanics of soft materials 5, article number: 4. (10.1007/s4255802300051y)
 Mihai, L. A., Gablier, A., Terentjev, E. and Goriely, A. 2023. AntiHertz bulging of actuated liquid crystal elastomers. Extreme Mechanics Letters 64, article number: 102066. (10.1016/j.eml.2023.102066)
 Goriely, A., Moulton, D. E. and Mihai, L. A. 2023. A rod theory for liquid crystalline elastomers. Journal of Elasticity 153, pp. 509532. (10.1007/s1065902109875z)
 Mihai, L. A., Raistrick, T., Gleeson, H. F., Mistry, D. and Goriely, A. 2023. A predictive theoretical model for stretchinduced instabilities in liquid crystal elastomers. Liquid Crystals (10.1080/02678292.2022.2161655)
 Mihai, L. A. 2023. A theoretical model for power generation via liquid crystal elastomers. Mathematics and Mechanics of Solids
2022
 Mihai, L. A., Mistry, D., Raistrick, T., Gleeson, H. F. and Goriely, A. 2022. A mathematical model for the auxetic response of liquid crystal elastomers. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 380, article number: 20210326. (10.1098/rsta.2021.0326)
 Buze, M., Woolley, T. E. and Mihai, L. A. 2022. A stochastic framework for atomistic fracture. SIAM Journal on Applied Mathematics 82(2), pp. 526548. (10.1137/21M1416436)
 Mihai, L. A. 2022. Stochastic elasticity: a nondeterministic approach to the nonlinear field theory. Interdisciplinary Applied Mathematics. Switzerland: Springer. (10.1007/9783031066924)
2021
 Mihai, L. A. and Goriely, A. 2021. Instabilities in liquid crystal elastomers. MRS Bulletin 46, pp. 784794. (10.1557/s43577021001152)
 Mihai, L. A., Wang, H., Guilleminot, J. and Goriely, A. 2021. Nematic liquid crystalline elastomers are aeolotropic materials. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477(2253), article number: 20210259. (10.1098/rspa.2021.0259)
 Goriely, A. and Mihai, L. A. 2021. Liquid crystal elastomers wrinkling. Nonlinearity 34(8), article number: 5599. (10.1088/13616544/ac09c1)
 Mihai, L. A. and Alamoudi, M. 2021. Likely oscillatory motions of stochastic hyperelastic spherical shells and tubes. International Journal of NonLinear Mechanics 130, article number: 103671. (10.1016/j.ijnonlinmec.2021.103671)
2020
 Mihai, L. A. and Goriely, A. 2020. A plate theory for nematic liquid crystalline solids. Journal of the Mechanics and Physics of Solids 144, article number: 104101. (10.1016/j.jmps.2020.104101)
 Mihai, L. A. and Goriely, A. 2020. A pseudoanelastic model for stress softening in liquid crystal elastomers. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476(2243), article number: 20200558. (10.1098/rspa.2020.0558)
 Mihai, L. A. and Goriely, A. 2020. Likely striping in stochastic nematic elastomers. Mathematics and Mechanics of Solids 25(10), pp. 18511872. (10.1177/1081286520914958)
 Mihai, L. A., Woolley, T. and Goriely, A. 2020. Likely cavitation and radial motion of stochastic elastic spheres. Nonlinearity 33(5), article number: 1987. (10.1088/13616544/ab7104)
 Schweickert, E., Mihai, L. A., Martin, R. J. and Neff, P. 2020. A note on nonhomogeneous deformations with homogeneous Cauchy stress for a strictly rankone convex energy in isotropic hyperelasticity. International Journal of NonLinear Mechanics 119, article number: 103282. (10.1016/j.ijnonlinmec.2019.103282)
2019
 Fitt, D., Wyatt, H., Woolley, T. and Mihai, L. A. 2019. Uncertainty quantification of elastic material responses: testing, stochastic calibration and Bayesian model selection. Mechanics of Soft Materials 1, article number: 13. (10.1007/s4255801900131)
 Mihai, L. A. 2019. Power in numbers: The rebel women of mathematics by Talithia Williams [Book Review]. London Mathematical Society Newsletter 485, pp. 4950.
 Mihai, L. A., Fitt, D., Woolley, T. and Goriely, A. 2019. Likely cavitation in stochastic elasticity. Journal of Elasticity 137(1), pp. 2742. (10.1007/s1065901897061)
 Mihai, L. A., Woolley, T. and Goriely, A. 2019. Likely chirality of stochastic anisotropic hyperelastic tubes. International Journal of NonLinear Mechanics 114, pp. 920. (10.1016/j.ijnonlinmec.2019.04.004)
 Mihai, L. A., Fitt, D., Woolley, T. E. and Goriely, A. 2019. Likely equilibria of stochastic hyperelastic spherical shells and tubes. Mathematics and Mechanics of Solids 24(7), pp. 20662082. (10.1177/1081286518811881)
 Mihai, L. A., Woolley, T. E. and Goriely, A. 2019. Likely equilibria of the stochastic Rivlin cube. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377(2144), article number: 20180068. (10.1098/rsta.2018.0068)
 Mihai, L., Fitt, D., Woolley, T. and Goriely, A. 2019. Likely oscillatory motions of stochastic hyperelastic solids. Transactions of Mathematics and Its Applications 3(1), article number: tnz003. (10.1093/imatrm/tnz003)
 Wyatt, H., Safar, A., Clarke, A., Evans, S. and Mihai, L. A. 2019. Nonlinear scaling effects in the stiffness of soft cellular structures. Royal Society Open Science 6(1), article number: 181361.
2018
 Schweickert, E., Mihai, L. A. and Neff, P. 2018. Homogeneous Cauchy stress induced by nonhomogeneous deformations. Presented at: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Munich, Germany, 1923 March 2018. Proceedings in Applied Mathematics and Mechanics (PAMM) Vol. 1. Wiley pp. 12., (10.1002/pamm.201800185)
 Safar, A. and Mihai, L. A. 2018. The nonlinear elasticity of hyperelastic models for stretchdominated cellular structures. International Journal of NonLinear Mechanics 106, pp. 144154. (10.1016/j.ijnonlinmec.2018.08.006)
 Mihai, L. A., Safar, A. and Wyatt, H. L. 2018. Debonding of cellular structures with fibrereinforced cell walls under shear deformation. Journal of Engineering Mathematics 109(1), pp. 319. (10.1007/s1066501698942)
 Mihai, L. A. and Neff, P. 2018. Hyperelastic bodies under homogeneous Cauchy stress induced by threedimensional nonhomogeneous deformations. Mathematics and Mechanics of Solids 23(4), pp. 606616. (10.1177/1081286516682556)
 Mihai, L. A., Woolley, T. and Goriely, A. 2018. Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Proceedings of the Royal Society A 474(2211), article number: 201708. (10.1098/rspa.2017.0858)
2017
 Mihai, L. A. and Goriely, A. 2017. How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473(2207), article number: 607. (10.1098/rspa.2017.0607)
 Mihai, L. A., Budday, S., Holzapfel, G., Kuhl, E. and Goriely, A. 2017. A family of hyperelastic models for human brain tissue. Journal of the Mechanics and Physics of Solids 106, pp. 6079. (10.1016/j.jmps.2017.05.015)
 Mihai, L. A., Wyatt, H. and Goriely, A. 2017. A microstructurebased hyperelastic model for opencell solids. SIAM Journal on Applied Mathematics 77(4), pp. 13971416. (10.1137/16M1098899)
 Safar, A., Wyatt, H. L. and Mihai, L. A. 2017. Debonding of cellular structures under shear deformation. Presented at: 25th Conference of the UK Association for Computational Mechanics, University of Birmingham, Birmingham, UK, 1113 April 2017.
 Mihai, L. A., Wyatt, H. L. and Goriely, A. 2017. Microstructurebased hyperelastic models for closedcell solids. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473(2200), article number: 20170036. (10.1098/rspa.2017.0036)
 Lee, C., Mihai, L. A., Hale, J. S., Kerfriden, P. and Bordas, S. P. A. 2017. Strain smoothing for compressible and nearlyincompressible finite elasticity. Computers & Structures 182, pp. 540555. (10.1016/j.compstruc.2016.05.004)
 Neff, P. and Mihai, L. A. 2017. Injectivity of the Cauchystress tensor along rankone connected lines under strict rankone convexity condition. Journal of Elasticity 127(2), pp. 309315. (10.1007/s106590169609y)
 Mihai, L. A. and Neff, P. 2017. Hyperelastic bodies under homogeneous Cauchy stress induced by nonhomogeneous finite deformations. International Journal of NonLinear Mechanics 89, pp. 93100. (10.1016/j.ijnonlinmec.2016.12.003)
 Mihai, L. A. 2017. The ascent of Mary Somerville in 19th century society by Elisabetta Strickland [Book Review]. London Mathematical Society Newsletter March(467), pp. 2930.
 Mihai, L. A., Alayyash, K. and Wyatt, H. L. 2017. The optimal density of cellular solids in axial tension. Computer Methods in Biomechanics and Biomedical Engineering 20(7), pp. 701713. (10.1080/10255842.2017.1292352)
 Wyatt, H. L., Clarke, A., Evans, S. L. and Mihai, L. A. 2017. Optical strain measurement techniques for soft cellular structures. Presented at: BSSM 12th International Conference on Advances in Experimental Mechanics, Sheffield, UK, 29  31 August 2017.
2016
 Wyatt, H. L., Alayyash, K., Evans, S. L. and Mihai, L. A. 2016. Computer modelling of cellular structures under uniaxial loading. Presented at: 24th Conference of the UK Association on Computational Mechanics, Cardiff University, Cardiff, UK, 31 March  1 April 2016. Cardiff: pp. 184187.
 Mihai, L. A. and Goriely, A. 2016. Guaranteed upper and lower bounds on the uniform load of contact problems in elasticity. Siam Journal on Applied Mathematics 76(4), pp. 15581576. (10.1137/15M1046563)
 Wyatt, H. L., Alayyash, K. and Mihai, L. A. 2016. Optimising material density of cellular bodies in high elastic deformations. Presented at: 24th International Congress of Theoretical and Applied Mechanics, Montreal, Canada, 2125 August 2016.
2015
 Mihai, L. A., Chin, L., Janmey, P. A. and Goriely, A. 2015. A comparison of hyperelastic constitutive models applicable to brain and fat tissues. Journal of the Royal Society Interface 12(110), pp. ., article number: 20150486. (10.1098/rsif.2015.0486)
 Mihai, L. A., Alayyash, K. and Goriely, A. 2015. Paws, pads, and plants: The enhanced elasticity of cellfilled loadbearing structures. Proceedings of the Royal Society of London Series A 471(2178), article number: 20150107. (10.1098/rspa.2015.0107)
 Mihai, L. A. and Goriely, A. 2015. Finite deformation effects in cellular structures with hyperelastic cell walls. International Journal of Solids and Structures 53, pp. 107128. (10.1016/j.ijsolstr.2014.10.015)
2014
 Mihai, L. A. and Goriely, A. 2014. Nonlinear Poisson effects in soft honeycombs. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470(2169), article number: 20140363. (10.1098/rspa.2014.0363)
2013
 Mihai, L. A. 2013. Cardiff students hold first SIAM Chapter Day. SIAM News 2013(1 Apr)
 Mihai, L. A. and Goriely, A. 2013. Numerical simulation of shear and the Poynting effects by the finite element method: An application of the generalised empirical inequalities in nonlinear elasticity. International Journal of NonLinear Mechanics 49, pp. 114. (10.1016/j.ijnonlinmec.2012.09.001)
2011
 Mihai, L. A. and Goriely, A. 2011. Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467(2136), pp. 36333646. (10.1098/rspa.2011.0281)
2010
 Mihai, L. A. 2010. A fixedpoint approach to the limit load analysis of multibody structures with Coulomb friction. Computers & Structures 88(1314), pp. 859869. (10.1016/j.compstruc.2010.04.005)
2009
 Mihai, L. A. and Ainsworth, M. 2009. A finite element procedure for rigorous numerical enclosures on the limit load in the analysis of multibody structures. Computer Methods in Applied Mechanics and Engineering 199(14), pp. 4860. (10.1016/j.cma.2009.09.018)
 Mihai, L. A. and Ainsworth, M. 2009. An adaptive multiscale computational modelling of Clare College Bridge. Computer Methods in Applied Mechanics and Engineering 198(2126), pp. 18391847. (10.1016/j.cma.2008.12.030)
 Ainsworth, M. and Mihai, L. A. 2009. An adaptive multiscale approach to the modelling of masonry structures. International Journal for Numerical Methods in Engineering 78(10), pp. 11351163. (10.1002/nme.2520)
 Mihai, L. A. and Craig, A. W. 2009. Alternate slicebased substructuring in three dimensions. Ima Journal of Numerical Analysis 29(3), pp. 508538. (10.1093/imanum/drn023)
2007
 Ainsworth, M. and Mihai, L. A. 2007. Modeling and numerical analysis of masonry structures. Numerical Methods for Partial Differential Equations 23(4), pp. 798816. (10.1002/num.20253)
2006
 Ainsworth, M. and Mihai, L. A. 2006. A comparison of solvers for linear complementarity problems arising from largescale masonry structures. Applications of Mathematics 51(2), pp. 93128. (10.1007/s1049200600088)
 Mihai, L. A. and Craig, A. W. 2006. Alternate stripbased substructuring algorithms for elliptic PDEs in two dimensions. Ima Journal of Numerical Analysis 26(2), pp. 354380. (10.1093/imanum/dri025)
2005
 Mihai, L. A. and Craig, A. W. 2005. A twogrid alternate stripbased domain decomposition strategy in twodimensions. In: Kornhuber, R. et al. eds. Domain Decomposition Methods in Science and Engineering. SpringerVerlag Berlin Heidelberg, pp. 661668., (10.1007/3540268251_71)
Articles
 Mihai, L. A. 2023. A theoretical liquid crystal elastomer model that mimics the elasticity of cat skin. Mechanics of soft materials 5, article number: 4. (10.1007/s4255802300051y)
 Mihai, L. A., Gablier, A., Terentjev, E. and Goriely, A. 2023. AntiHertz bulging of actuated liquid crystal elastomers. Extreme Mechanics Letters 64, article number: 102066. (10.1016/j.eml.2023.102066)
 Goriely, A., Moulton, D. E. and Mihai, L. A. 2023. A rod theory for liquid crystalline elastomers. Journal of Elasticity 153, pp. 509532. (10.1007/s1065902109875z)
 Mihai, L. A., Raistrick, T., Gleeson, H. F., Mistry, D. and Goriely, A. 2023. A predictive theoretical model for stretchinduced instabilities in liquid crystal elastomers. Liquid Crystals (10.1080/02678292.2022.2161655)
 Mihai, L. A. 2023. A theoretical model for power generation via liquid crystal elastomers. Mathematics and Mechanics of Solids
 Mihai, L. A., Mistry, D., Raistrick, T., Gleeson, H. F. and Goriely, A. 2022. A mathematical model for the auxetic response of liquid crystal elastomers. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 380, article number: 20210326. (10.1098/rsta.2021.0326)
 Buze, M., Woolley, T. E. and Mihai, L. A. 2022. A stochastic framework for atomistic fracture. SIAM Journal on Applied Mathematics 82(2), pp. 526548. (10.1137/21M1416436)
 Mihai, L. A. and Goriely, A. 2021. Instabilities in liquid crystal elastomers. MRS Bulletin 46, pp. 784794. (10.1557/s43577021001152)
 Mihai, L. A., Wang, H., Guilleminot, J. and Goriely, A. 2021. Nematic liquid crystalline elastomers are aeolotropic materials. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477(2253), article number: 20210259. (10.1098/rspa.2021.0259)
 Goriely, A. and Mihai, L. A. 2021. Liquid crystal elastomers wrinkling. Nonlinearity 34(8), article number: 5599. (10.1088/13616544/ac09c1)
 Mihai, L. A. and Alamoudi, M. 2021. Likely oscillatory motions of stochastic hyperelastic spherical shells and tubes. International Journal of NonLinear Mechanics 130, article number: 103671. (10.1016/j.ijnonlinmec.2021.103671)
 Mihai, L. A. and Goriely, A. 2020. A plate theory for nematic liquid crystalline solids. Journal of the Mechanics and Physics of Solids 144, article number: 104101. (10.1016/j.jmps.2020.104101)
 Mihai, L. A. and Goriely, A. 2020. A pseudoanelastic model for stress softening in liquid crystal elastomers. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476(2243), article number: 20200558. (10.1098/rspa.2020.0558)
 Mihai, L. A. and Goriely, A. 2020. Likely striping in stochastic nematic elastomers. Mathematics and Mechanics of Solids 25(10), pp. 18511872. (10.1177/1081286520914958)
 Mihai, L. A., Woolley, T. and Goriely, A. 2020. Likely cavitation and radial motion of stochastic elastic spheres. Nonlinearity 33(5), article number: 1987. (10.1088/13616544/ab7104)
 Schweickert, E., Mihai, L. A., Martin, R. J. and Neff, P. 2020. A note on nonhomogeneous deformations with homogeneous Cauchy stress for a strictly rankone convex energy in isotropic hyperelasticity. International Journal of NonLinear Mechanics 119, article number: 103282. (10.1016/j.ijnonlinmec.2019.103282)
 Fitt, D., Wyatt, H., Woolley, T. and Mihai, L. A. 2019. Uncertainty quantification of elastic material responses: testing, stochastic calibration and Bayesian model selection. Mechanics of Soft Materials 1, article number: 13. (10.1007/s4255801900131)
 Mihai, L. A. 2019. Power in numbers: The rebel women of mathematics by Talithia Williams [Book Review]. London Mathematical Society Newsletter 485, pp. 4950.
 Mihai, L. A., Fitt, D., Woolley, T. and Goriely, A. 2019. Likely cavitation in stochastic elasticity. Journal of Elasticity 137(1), pp. 2742. (10.1007/s1065901897061)
 Mihai, L. A., Woolley, T. and Goriely, A. 2019. Likely chirality of stochastic anisotropic hyperelastic tubes. International Journal of NonLinear Mechanics 114, pp. 920. (10.1016/j.ijnonlinmec.2019.04.004)
 Mihai, L. A., Fitt, D., Woolley, T. E. and Goriely, A. 2019. Likely equilibria of stochastic hyperelastic spherical shells and tubes. Mathematics and Mechanics of Solids 24(7), pp. 20662082. (10.1177/1081286518811881)
 Mihai, L. A., Woolley, T. E. and Goriely, A. 2019. Likely equilibria of the stochastic Rivlin cube. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377(2144), article number: 20180068. (10.1098/rsta.2018.0068)
 Mihai, L., Fitt, D., Woolley, T. and Goriely, A. 2019. Likely oscillatory motions of stochastic hyperelastic solids. Transactions of Mathematics and Its Applications 3(1), article number: tnz003. (10.1093/imatrm/tnz003)
 Wyatt, H., Safar, A., Clarke, A., Evans, S. and Mihai, L. A. 2019. Nonlinear scaling effects in the stiffness of soft cellular structures. Royal Society Open Science 6(1), article number: 181361.
 Safar, A. and Mihai, L. A. 2018. The nonlinear elasticity of hyperelastic models for stretchdominated cellular structures. International Journal of NonLinear Mechanics 106, pp. 144154. (10.1016/j.ijnonlinmec.2018.08.006)
 Mihai, L. A., Safar, A. and Wyatt, H. L. 2018. Debonding of cellular structures with fibrereinforced cell walls under shear deformation. Journal of Engineering Mathematics 109(1), pp. 319. (10.1007/s1066501698942)
 Mihai, L. A. and Neff, P. 2018. Hyperelastic bodies under homogeneous Cauchy stress induced by threedimensional nonhomogeneous deformations. Mathematics and Mechanics of Solids 23(4), pp. 606616. (10.1177/1081286516682556)
 Mihai, L. A., Woolley, T. and Goriely, A. 2018. Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Proceedings of the Royal Society A 474(2211), article number: 201708. (10.1098/rspa.2017.0858)
 Mihai, L. A. and Goriely, A. 2017. How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473(2207), article number: 607. (10.1098/rspa.2017.0607)
 Mihai, L. A., Budday, S., Holzapfel, G., Kuhl, E. and Goriely, A. 2017. A family of hyperelastic models for human brain tissue. Journal of the Mechanics and Physics of Solids 106, pp. 6079. (10.1016/j.jmps.2017.05.015)
 Mihai, L. A., Wyatt, H. and Goriely, A. 2017. A microstructurebased hyperelastic model for opencell solids. SIAM Journal on Applied Mathematics 77(4), pp. 13971416. (10.1137/16M1098899)
 Mihai, L. A., Wyatt, H. L. and Goriely, A. 2017. Microstructurebased hyperelastic models for closedcell solids. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473(2200), article number: 20170036. (10.1098/rspa.2017.0036)
 Lee, C., Mihai, L. A., Hale, J. S., Kerfriden, P. and Bordas, S. P. A. 2017. Strain smoothing for compressible and nearlyincompressible finite elasticity. Computers & Structures 182, pp. 540555. (10.1016/j.compstruc.2016.05.004)
 Neff, P. and Mihai, L. A. 2017. Injectivity of the Cauchystress tensor along rankone connected lines under strict rankone convexity condition. Journal of Elasticity 127(2), pp. 309315. (10.1007/s106590169609y)
 Mihai, L. A. and Neff, P. 2017. Hyperelastic bodies under homogeneous Cauchy stress induced by nonhomogeneous finite deformations. International Journal of NonLinear Mechanics 89, pp. 93100. (10.1016/j.ijnonlinmec.2016.12.003)
 Mihai, L. A. 2017. The ascent of Mary Somerville in 19th century society by Elisabetta Strickland [Book Review]. London Mathematical Society Newsletter March(467), pp. 2930.
 Mihai, L. A., Alayyash, K. and Wyatt, H. L. 2017. The optimal density of cellular solids in axial tension. Computer Methods in Biomechanics and Biomedical Engineering 20(7), pp. 701713. (10.1080/10255842.2017.1292352)
 Mihai, L. A. and Goriely, A. 2016. Guaranteed upper and lower bounds on the uniform load of contact problems in elasticity. Siam Journal on Applied Mathematics 76(4), pp. 15581576. (10.1137/15M1046563)
 Mihai, L. A., Chin, L., Janmey, P. A. and Goriely, A. 2015. A comparison of hyperelastic constitutive models applicable to brain and fat tissues. Journal of the Royal Society Interface 12(110), pp. ., article number: 20150486. (10.1098/rsif.2015.0486)
 Mihai, L. A., Alayyash, K. and Goriely, A. 2015. Paws, pads, and plants: The enhanced elasticity of cellfilled loadbearing structures. Proceedings of the Royal Society of London Series A 471(2178), article number: 20150107. (10.1098/rspa.2015.0107)
 Mihai, L. A. and Goriely, A. 2015. Finite deformation effects in cellular structures with hyperelastic cell walls. International Journal of Solids and Structures 53, pp. 107128. (10.1016/j.ijsolstr.2014.10.015)
 Mihai, L. A. and Goriely, A. 2014. Nonlinear Poisson effects in soft honeycombs. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470(2169), article number: 20140363. (10.1098/rspa.2014.0363)
 Mihai, L. A. 2013. Cardiff students hold first SIAM Chapter Day. SIAM News 2013(1 Apr)
 Mihai, L. A. and Goriely, A. 2013. Numerical simulation of shear and the Poynting effects by the finite element method: An application of the generalised empirical inequalities in nonlinear elasticity. International Journal of NonLinear Mechanics 49, pp. 114. (10.1016/j.ijnonlinmec.2012.09.001)
 Mihai, L. A. and Goriely, A. 2011. Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467(2136), pp. 36333646. (10.1098/rspa.2011.0281)
 Mihai, L. A. 2010. A fixedpoint approach to the limit load analysis of multibody structures with Coulomb friction. Computers & Structures 88(1314), pp. 859869. (10.1016/j.compstruc.2010.04.005)
 Mihai, L. A. and Ainsworth, M. 2009. A finite element procedure for rigorous numerical enclosures on the limit load in the analysis of multibody structures. Computer Methods in Applied Mechanics and Engineering 199(14), pp. 4860. (10.1016/j.cma.2009.09.018)
 Mihai, L. A. and Ainsworth, M. 2009. An adaptive multiscale computational modelling of Clare College Bridge. Computer Methods in Applied Mechanics and Engineering 198(2126), pp. 18391847. (10.1016/j.cma.2008.12.030)
 Ainsworth, M. and Mihai, L. A. 2009. An adaptive multiscale approach to the modelling of masonry structures. International Journal for Numerical Methods in Engineering 78(10), pp. 11351163. (10.1002/nme.2520)
 Mihai, L. A. and Craig, A. W. 2009. Alternate slicebased substructuring in three dimensions. Ima Journal of Numerical Analysis 29(3), pp. 508538. (10.1093/imanum/drn023)
 Ainsworth, M. and Mihai, L. A. 2007. Modeling and numerical analysis of masonry structures. Numerical Methods for Partial Differential Equations 23(4), pp. 798816. (10.1002/num.20253)
 Ainsworth, M. and Mihai, L. A. 2006. A comparison of solvers for linear complementarity problems arising from largescale masonry structures. Applications of Mathematics 51(2), pp. 93128. (10.1007/s1049200600088)
 Mihai, L. A. and Craig, A. W. 2006. Alternate stripbased substructuring algorithms for elliptic PDEs in two dimensions. Ima Journal of Numerical Analysis 26(2), pp. 354380. (10.1093/imanum/dri025)
Book sections
 Mihai, L. A. and Craig, A. W. 2005. A twogrid alternate stripbased domain decomposition strategy in twodimensions. In: Kornhuber, R. et al. eds. Domain Decomposition Methods in Science and Engineering. SpringerVerlag Berlin Heidelberg, pp. 661668., (10.1007/3540268251_71)
Books
 Mihai, L. A. 2022. Stochastic elasticity: a nondeterministic approach to the nonlinear field theory. Interdisciplinary Applied Mathematics. Switzerland: Springer. (10.1007/9783031066924)
Conferences
 Schweickert, E., Mihai, L. A. and Neff, P. 2018. Homogeneous Cauchy stress induced by nonhomogeneous deformations. Presented at: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Munich, Germany, 1923 March 2018. Proceedings in Applied Mathematics and Mechanics (PAMM) Vol. 1. Wiley pp. 12., (10.1002/pamm.201800185)
 Safar, A., Wyatt, H. L. and Mihai, L. A. 2017. Debonding of cellular structures under shear deformation. Presented at: 25th Conference of the UK Association for Computational Mechanics, University of Birmingham, Birmingham, UK, 1113 April 2017.
 Wyatt, H. L., Clarke, A., Evans, S. L. and Mihai, L. A. 2017. Optical strain measurement techniques for soft cellular structures. Presented at: BSSM 12th International Conference on Advances in Experimental Mechanics, Sheffield, UK, 29  31 August 2017.
 Wyatt, H. L., Alayyash, K., Evans, S. L. and Mihai, L. A. 2016. Computer modelling of cellular structures under uniaxial loading. Presented at: 24th Conference of the UK Association on Computational Mechanics, Cardiff University, Cardiff, UK, 31 March  1 April 2016. Cardiff: pp. 184187.
 Wyatt, H. L., Alayyash, K. and Mihai, L. A. 2016. Optimising material density of cellular bodies in high elastic deformations. Presented at: 24th International Congress of Theoretical and Applied Mechanics, Montreal, Canada, 2125 August 2016.
 Mihai, L. A. 2022. Stochastic elasticity: a nondeterministic approach to the nonlinear field theory. Interdisciplinary Applied Mathematics. Switzerland: Springer. (10.1007/9783031066924)
Research
My main research is in the mathematics of soft materials, including multiscale modelling, limit states analysis, optimisation, and uncertainty quantification. In recent years, my research focus has been on stochastic elasticity. This is a fastdeveloping field at the forefront of interdisciplinary research and strategic developments in continuum mechanics combined with statistics and applied probability. For further details, please see my profiles on Google Scholar, MathSciNet, ORCID and ResearchGate.
Funded projects
 Retreat for women in applied mathematics, International Centre for Mathematical Sciences (ICMS), Edinburgh (2023, 2024), Supported by EPSRC Grant EP/R015007/1
 Uncertainty quantification and stochastic modelling of materials, Issac Newton Institute for Mathematical Sciences, Cambridge (2023), Supported by EPSRC Grant EP/R014604/1
 Full PhD studentship, College of Physical Sciences and Engineering, Cardiff University (2022  2026)
 Limit analysis of debonding states in multibody systems of stochastic hyperelastic material, EPSRC Grant EP/S028870/1 (2019  2022)
 Full PhD studentship, College of Physical Sciences and Engineering, Cardiff University (2015  2019)
 Limit analysis of collapse states in cellular solids, EPSRC Grant EP/M011992/1 (2015  2017)
Mottoes to papers
 "The task of the theorist is to bring order into the chaos of the phenomena of nature, to invent a language by which a class of these phenomena can be described efficiently and simply."  C. Truesdell (1965) (doi: 10.1098/rspa.2017.0607)
 "This task is made more difficult than it otherwise would be by the fact that some of the testpieces used have to be moulded individually, and it is difficult to make two rubber specimens having identical properties even if nominally identical procedures are followed in preparing them."  R. S. Rivlin & D. W. Saunders (1951) (doi: 10.1007/s4255801900131)
 "Instead of stating the positions and velocities of all the molecules, we allow the possibility that these may vary for some reason  be it because we lack precise information, be it because we wish only some average in time or in space, be it because we are content to represent the result of averaging over many repetitions [...] We can then assign a probability to each quantity and calculate the values expected according to that probability."  C. Truesdell (1984) (doi: 10.1177/1081286520914958)
 "It is a problem of mechanics, highly complicated and irrelevant to probability theory except insofar as it forces us to think a little more carefully about how probability theory must be formulated if it is to be applicable to real situations.”  E. T. Jaynes (1996) (doi: 10.1088/13616544/ab7104)
 "Denominetur motus talis, qualis omni momento temporis t praebet configurationem ca pacem aequilibrii corporis iisdem viribus massalibus sollicitati, ‘motus quasi aequilibratus’. Generatim motus quasi aequilibratus non congruet legibus dynamicis et proinde motus verus corporis fieri non potest, manentibus iisdem viribus masalibus.”  C. Truesdell (1962) (doi: 10.1093/imatrm/tnz003)

“Of particular relevance here is the fact that technology of people must be different from that of nature simply because the two span different size scales [...] Everyday terms such as ‘assembly’, ‘polymer’, ‘blueprint’, ‘safety factor’, ‘design’, and ‘intended application’ were meant for our production systems, and we run considerable risk of selfdeception when we use them for natural systems.”  S. Vogel (1998) (doi: 10.1007/s4255802300051y)
Video recordings
 Uncertainty quantification and stochastic modelling of materials: Organiser interview, Isaac Newton Institute (August 2023)
 Instabilities in liquid crystal elastomers, Isaac Newton Institute (July 2023)
 Mathematics and mechanics of liquid crystal elastomers, Journal of Engineering Mathematics Webinar (October 2022)
 Mathematics and mechanics of liquid crystal elastomers, Cardiff Applied and Computational Mathematics Seminar (November 2021)
 The mathematics and continuum mechanics of liquid crystal elastomers, LMS Prospects in Mathematics (September 2021)
Cover image
 A molecular dynamics simulation of liquid crystal elastomers, Proceedings of the Royal Society A 477, issue 2253, September 2021
Teaching
I am a fellow of the UK Higher Education Academy. My teaching at Cardiff University is in Applied Mathematics.
Courses taught
 Introduction to Mathematical Modelling of Liquid Crystal Elastomers
 PhDlevel Mathematics (2023  Present)
 Numerical Analysis
 Year 2 Mathematics (2013  Present)
 Finite Elasticity
 Year 3 Mathematics (2020  2022)
 Year 4 MMath (2015  2020)
 Classical Mechanics
 Year 1 Mathematics (2012  2017)
Biography
Career overview
I am a Professor of Applied Mathematics at Cardiff University. I obtained my DPhil for research in numerical analysis from the University of Durham, UK, in 2005. With further experience as a postdoctoral researcher at the Universities of Strathclyde, Cambridge, and Oxford, I developed expertise in the mathematics and mechanics of solids. I joined Cardiff as a University Lecturer in 2011.
Honours and awards

Outstanding Contribution Award, Cardiff University (2015)

Shell Centenary Scholarship, Shell Group and Cambridge University Trust (1999  2000)
Professional memberships
 Society for Industrial and Applied Mathematics (SIAM)
 Vice President of SIAMUKIE Section (2023  2025)
 Secretary & Treasurer of SIAMUKIE Section (2014  2016)
 Faculty Adviser of SIAMIMA Student Chapter at Cardiff University
 The International Society for the Interaction of Mechanics and Mathematics
 The British Liquid Crystal Society
Committees and reviewing
 Associate Editor
 Journal of Elasticity: The Physical and Mathematical Science of Solids (Springer)
 Special Issue on Liquid Crystal Elastomers and Their Theory (2025)
 Mathematics and Mechanics of Solids (SAGE)
 Special Issue in Honor of Prof Alain Goriely FRS (2023)
 Transactions of Mathematics and Its Applications (OUP)
 Journal of Elasticity: The Physical and Mathematical Science of Solids (Springer)
 Member of Editorial Advisory Board
 Research Councils Services
Supervisions
Postdoctoral researchers
 Dr Yang Liu, Research fellow, HORIZONMSCA2022 (20232025)
 Dr Thomas Raistrick, Research associate, EP/S028870/1 (2022 )
 Dr Maciej Buze, Research associate, EP/S028870/1 (2019  2022)
 Dr Hayley Wyatt, Research associate, EP/M011992/1 (2015  2017)
Current supervision
Rabin Poudel
Research student
Past projects
 Dr Manal Alamoudi, PhD studies (2018  2022)
 Dr Danielle Fitt, PhD studies (2018  2021)
 Dr Alexander Safar, PhD studies (2015  2019)
 Mike Crisfield Prize, UK Association for Computational Mechanics, University of Birmingham, UK (2017)
 Dr Khulud Alayyash, PhD studies (2013  2017)
Research themes
Specialisms
 Applied mathematics
 Numerical analysis
 Solid mechanics